Title data
Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
A subspace code of size 333 in the setting of a binary qanalog of the Fano plane.
Bayreuth
,
2019
.  18 p.
This is the latest version of this item.
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Project information
Project title: 
Project's official title Project's id Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie No information 

Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
We show that there is a binary subspace code of constant dimension 3 in ambient dimension 7, having minimum distance 4 and cardinality 333,, which improves the previous best known lower bound of 329. Moreover, if a code with these parameters has at least 333 elements, its automorphism group is in 31 conjugacy classes. This is achieved by a more
general technique for an exhaustive search in a finite group that does not depend on the enumeration of all subgroups.
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A subspace code of size 333 in the setting of a binary qanalog of the Fano plane. (deposited 02 Sep 2017 21:00)

A subspace code of size 333 in the setting of a binary qanalog of the Fano plane. (deposited 03 May 2018 06:52)
 A subspace code of size 333 in the setting of a binary qanalog of the Fano plane. (deposited 18 Jan 2019 12:40) [Currently Displayed]

A subspace code of size 333 in the setting of a binary qanalog of the Fano plane. (deposited 03 May 2018 06:52)